{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 参数设置\n",
    "min_amount = 10000  # 总金额最低为 1 万\n",
    "holding_days = 7  # 持有天数设为 7 天\n",
    "commission_rate = base_sell_rate_var = 1.2 / 10000  # 佣金率：每万元2.3元，即2.3/10000\n",
    "base_sell_rate_var = 0.012  # 赎回费率（假设默认持有7天），这里假设赎回费率和买入费率相同\n",
    "management_fee_rate = 0.005  # 年管理费率：0.5%\n",
    "custody_fee_rate = 0.001  # 年托管费率：0.1%\n",
    "min_buy_fee = 5  # 最低购买费用\n",
    "\n",
    "def commission_fee(amount, commission_rate=commission_rate):\n",
    "    \"\"\"计算买入和赎回的佣金费用\"\"\"\n",
    "    return amount * commission_rate\n",
    "\n",
    "def sell_fee_rate(holding_days, base_sell_rate=base_sell_rate_var, half_life=180):\n",
    "    \"\"\"计算赎回费用\"\"\"\n",
    "    return base_sell_rate * np.exp(-holding_days / half_life)\n",
    "\n",
    "def management_fee(amount, management_fee_rate=management_fee_rate, days=holding_days):\n",
    "    \"\"\"计算管理费用，假设持有一定天数\"\"\"\n",
    "    return amount * management_fee_rate * (days / 365)\n",
    "\n",
    "def custody_fee(amount, custody_fee_rate=custody_fee_rate, days=holding_days):\n",
    "    \"\"\"计算托管费用，假设持有一定天数\"\"\"\n",
    "    return amount * custody_fee_rate * (days / 365)\n",
    "\n",
    "# 生成数据\n",
    "amounts = np.linspace(min_amount, 25000, 500)  # 购买金额范围 1 万 到 2.5 万\n",
    "holding_days = 7  # 持有天数设为7天\n",
    "\n",
    "# 计算买入费用和卖出费用\n",
    "buy_commission_fees = commission_fee(amounts)\n",
    "sell_commission_fees = commission_fee(amounts)\n",
    "\n",
    "# 计算赎回费用\n",
    "sell_fees = sell_fee_rate(holding_days)\n",
    "\n",
    "# 计算管理费用和托管费用\n",
    "management_fees = management_fee(amounts, days=holding_days)\n",
    "custody_fees = custody_fee(amounts, days=holding_days)\n",
    "\n",
    "# 计算总费用：买入时费用 = 买入佣金 + 管理费 + 托管费\n",
    "# 卖出时费用 = 卖出佣金 + 卖出赎回费 + 管理费 + 托管费\n",
    "buy_total_fees = buy_commission_fees + management_fees + custody_fees\n",
    "sell_total_fees = sell_commission_fees + sell_fees + management_fees + custody_fees\n",
    "\n",
    "# 对于买入费用，设置最低费用为 5 元\n",
    "buy_total_fees_with_min = np.maximum(buy_total_fees, min_buy_fee)\n",
    "\n",
    "# 计算买入费用和卖出费用的占比\n",
    "buy_total_fees_ratio = buy_total_fees_with_min / amounts\n",
    "sell_total_fees_ratio = sell_total_fees / amounts\n",
    "\n",
    "# 计算总费用占比：买入费用 + 卖出费用\n",
    "total_fees_ratio = (buy_total_fees_with_min + sell_total_fees) / amounts\n",
    "\n",
    "# 计算斜率\n",
    "def calculate_slope(y, x):\n",
    "    \"\"\"计算y相对于x的导数（斜率）\"\"\"\n",
    "    return np.gradient(y, x)\n",
    "\n",
    "buy_slope = calculate_slope(buy_total_fees_ratio, amounts)\n",
    "sell_slope = calculate_slope(sell_total_fees_ratio, amounts)\n",
    "total_slope = calculate_slope(total_fees_ratio, amounts)\n",
    "\n",
    "# 查找斜率变为0的第一个点\n",
    "def find_first_zero_slope(slope, amounts, threshold=0):\n",
    "    \"\"\"查找斜率变为0的第一个点\"\"\"\n",
    "    for i in range(len(slope)):\n",
    "        if abs(slope[i]) == threshold:\n",
    "            return i\n",
    "    return None\n",
    "\n",
    "# 找到每条曲线斜率变为0的第一个点\n",
    "zero_slope_buy_point = find_first_zero_slope(buy_slope, amounts)\n",
    "zero_slope_sell_point = find_first_zero_slope(sell_slope, amounts)\n",
    "zero_slope_total_point = find_first_zero_slope(total_slope, amounts)\n",
    "\n",
    "# 绘图\n",
    "fig, ax1 = plt.subplots(figsize=(8, 6))\n",
    "\n",
    "# 绘制买入费用、卖出费用、最低购买费用占比、以及买入+卖出费用的占比\n",
    "ax1.plot(amounts, buy_total_fees_ratio, label=\"买入费用占比\", color=\"b\")\n",
    "ax1.plot(amounts, sell_total_fees_ratio, label=\"卖出费用占比\", color=\"r\")\n",
    "ax1.plot(amounts, np.maximum(buy_total_fees, min_buy_fee) / amounts, label=\"最低购买费用占比\", color=\"g\", linestyle='--')\n",
    "ax1.plot(amounts, total_fees_ratio, label=\"总费用占比 (买入+卖出)\", color=\"orange\", linestyle='-.')\n",
    "\n",
    "# 标注斜率变为0的第一个点，并在x轴上显示对应的值\n",
    "if zero_slope_buy_point is not None:\n",
    "    ax1.axvline(x=amounts[zero_slope_buy_point], color='b', linestyle=':', alpha=0.5)\n",
    "    ax1.text(amounts[zero_slope_buy_point], ax1.get_ylim()[0], \n",
    "             f'{amounts[zero_slope_buy_point]:.0f}', color='b', fontsize=10, \n",
    "             verticalalignment='bottom', horizontalalignment='center')\n",
    "\n",
    "if zero_slope_sell_point is not None:\n",
    "    ax1.axvline(x=amounts[zero_slope_sell_point], color='r', linestyle=':', alpha=0.5)\n",
    "    ax1.text(amounts[zero_slope_sell_point], ax1.get_ylim()[0], \n",
    "             f'{amounts[zero_slope_sell_point]:.0f}', color='r', fontsize=10, \n",
    "             verticalalignment='bottom', horizontalalignment='center')\n",
    "\n",
    "if zero_slope_total_point is not None:\n",
    "    ax1.axvline(x=amounts[zero_slope_total_point], color='orange', linestyle=':', alpha=0.5)\n",
    "    ax1.text(amounts[zero_slope_total_point], ax1.get_ylim()[0], \n",
    "             f'{amounts[zero_slope_total_point]:.0f}', color='orange', fontsize=10, \n",
    "             verticalalignment='bottom', horizontalalignment='center')\n",
    "\n",
    "# 设置标题和标签\n",
    "ax1.set_xlabel(\"购买金额 (元)\")\n",
    "ax1.set_ylabel(\"费用占比\")\n",
    "ax1.set_title(\"买入、卖出费用与最低购买费用占比及总费用占比随购买金额变化\")\n",
    "ax1.grid()\n",
    "ax1.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
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 },
 "nbformat": 4,
 "nbformat_minor": 2
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